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Effect of inhibitory firing pattern on coherence resonance in random neural networks

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  • Yu, Haitao
  • Zhang, Lianghao
  • Guo, Xinmeng
  • Wang, Jiang
  • Cao, Yibin
  • Liu, Jing

Abstract

The effect of inhibitory firing patterns on coherence resonance (CR) in random neuronal network is systematically studied. Spiking and bursting are two main types of firing pattern considered in this work. Numerical results show that, irrespective of the inhibitory firing patterns, the regularity of network is maximized by an optimal intensity of external noise, indicating the occurrence of coherence resonance. Moreover, the firing pattern of inhibitory neuron indeed has a significant influence on coherence resonance, but the efficacy is determined by network property. In the network with strong coupling strength but weak inhibition, bursting neurons largely increase the amplitude of resonance, while they can decrease the noise intensity that induced coherence resonance within the neural system of strong inhibition. Different temporal windows of inhibition induced by different inhibitory neurons may account for the above observations. The network structure also plays a constructive role in the coherence resonance. There exists an optimal network topology to maximize the regularity of the neural systems.

Suggested Citation

  • Yu, Haitao & Zhang, Lianghao & Guo, Xinmeng & Wang, Jiang & Cao, Yibin & Liu, Jing, 2018. "Effect of inhibitory firing pattern on coherence resonance in random neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1201-1210.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:1201-1210
    DOI: 10.1016/j.physa.2017.08.040
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    References listed on IDEAS

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    1. Wang, Maosheng & Sun, Runzhi & Huang, Wanxia & Tu, Yubing, 2014. "Internal noise induced pattern formation and spatial coherence resonance for calcium signals of diffusively coupled cells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 519-526.
    2. X. J. Sun & J. Z. Lei & M. Perc & Q. S. Lu & S. J. Lv, 2011. "Effects of channel noise on firing coherence of small-world Hodgkin-Huxley neuronal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 79(1), pages 61-66, January.
    3. Yu, Haitao & Guo, Xinmeng & Wang, Jiang & Deng, Bin & Wei, Xile, 2015. "Spike coherence and synchronization on Newman–Watts small-world neuronal networks modulated by spike-timing-dependent plasticity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 307-317.
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